ON A MULTIVARIABLE CLASS OF MITTAG-LEFFLER TYPE FUNCTIONS

Rakesh Kumar Parmar; Minjie Luo; Ravinder Krishna Raina

doi:10.11948/2016064

2016 Volume 6 Issue 4

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Rakesh Kumar Parmar, Minjie Luo, Ravinder Krishna Raina. ON A MULTIVARIABLE CLASS OF MITTAG-LEFFLER TYPE FUNCTIONS[J]. Journal of Applied Analysis & Computation, 2016, 6(4): 981-999. doi: 10.11948/2016064

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Rakesh Kumar Parmar, Minjie Luo, Ravinder Krishna Raina. ON A MULTIVARIABLE CLASS OF MITTAG-LEFFLER TYPE FUNCTIONS[J]. Journal of Applied Analysis & Computation, 2016, 6(4): 981-999. doi: 10.11948/2016064

ON A MULTIVARIABLE CLASS OF MITTAG-LEFFLER TYPE FUNCTIONS

1 Department of Mathematics, Government College of Engineering and Technology, Bikaner-334004, Rajasthan State, India;
2 Department of Mathematics, East China Normal University, Shanghai 200241, China;
3 M. P. University of Agriculture and Technology, Udaipur-313001, Rajasthan, India Present address:10/11, Ganpati Vihar, Opposite Sector 5, Udaipur-313002, Rajasthan, India

Abstract

Abstract

The present paper studies and investigates a class of Mittag-Leffler type multivariable functions. We derive the necessary convergence conditions and establish several properties associated with this class and those related with the corresponding class of fractional integral operators. New extensions of the introduced definitions and special cases of some of the results are also pointed out.
- Mittag-Leffler function /
- generalized Mittag-Leffler function /
- EulerBeta transform /
- fractional integral operator /
- Hadamard product /
- Laplace transform /
- Multidimensional analogue of the Cauchy-Hadamard formula
MSC: 33E12;32A05;26A33;47B38;47G10

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References

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